Asymptotic limits of a discrete Kinetic Theory model of vehicular traffic

The paper proposes a rigorous method to construct the hyperbolic asymptotic limit of the discrete Kinetic Theory model of vehicular traffic proposed in 18]. A second-order macroscopic model of the Payne-Whitham type is derived and the coefficients of the equations are obtained from the detailed description of the microscopic interactions developed in the kinetic model. (C) 2010 Elsevier Ltd. All rights reserved.